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JEE MAIN 2020
04-09-2020_S2
Question
The function $f(x)=\left\{\begin{array}{l}\frac{\pi}{4}+\tan ^{-1} x,|x| \leq 1 \\ \frac{1}{2}(|x|-1),|x|>1\end{array}\right.$ is :
Select the correct option:
A
both continuous and dif ferentiable on R – {–1}.
B
both continuous and dif ferentiable on R – {1}.
C
continuous on R – {–1} and differentiable on R – {–1, 1}.
D
continuous on R – {1} and differentiable on R – {–1, 1}.
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Hard
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